What is the sum of the exterior angles in any polygon?

The sum of the exterior angles of any polygon is always 360 degrees, regardless of the number of sides the polygon has. This is because exterior angles are formed when the sides of a polygon are extended, creating angles outside the shape.

To understand this, consider that each exterior angle is equal to the supplementary angle of the interior angle of the polygon. When you traverse around the polygon, turning at each vertex, the total amount of turning you do will always sum to one full rotation, which is 360 degrees. This holds true whether the polygon has 3 sides (a triangle) or many sides (like a dodecagon).

Therefore, the consistent total of 360 degrees for exterior angles across all polygons leads to this answer being correct. Other choices relate to specific properties or definitions within polygon geometry but do not accurately reflect the established sum of exterior angles for any polygon.